A closer look at the indications of q-generalized Central Limit Theorem behavior in quasi-stationary states of the HMF model
arXiv:0801.1914 · doi:10.1016/j.physa.2008.01.112
Abstract
We give a closer look at the Central Limit Theorem (CLT) behavior in quasi-stationary states of the Hamiltonian Mean Field model, a paradigmatic one for long-range-interacting classical many-body systems. We present new calculations which show that, following their time evolution, we can observe and classify three kinds of long-standing quasi-stationary states (QSS) with different correlations. The frequency of occurrence of each class depends on the size of the system. The different microsocopic nature of the QSS leads to different dynamical correlations and therefore to different results for the observed CLT behavior.
11 pages, 8 figures. Text and figures added, Physica A in press
References in corpus (4)
- Central limit behavior of deterministic dynamical systems
- Numerical indications of a q-generalised central limit theorem
- Nonextensive statistical mechanics and central limit theorems I - Convolution of independent random variables and q-product
- Nonextensive statistical mechanics and central limit theorems II - Convolution of q-independent random variables